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484399104 = 2113721609
BaseRepresentation
bin11100110111110…
…101100000000000
31020202111000122120
4130313311200000
51443001232404
6120022204240
715001216200
oct3467654000
91222430576
10484399104
11229481242
12116283680
13794820b7
1448494400
152c7d59d9
hex1cdf5800

484399104 has 144 divisors (see below), whose sum is σ = 1503192600. Its totient is φ = 138313728.

The previous prime is 484399103. The next prime is 484399117. The reversal of 484399104 is 401993484.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484399103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300252 + ... + 301860.

Almost surely, 2484399104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484399104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751596300).

484399104 is an abundant number, since it is smaller than the sum of its proper divisors (1018793496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

484399104 is a wasteful number, since it uses less digits than its factorization.

484399104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 484399104 is about 22009.0686763434. The cubic root of 484399104 is about 785.3581899509.

The spelling of 484399104 in words is "four hundred eighty-four million, three hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1609 1792 2048 2352 2688 3072 3136 3218 3584 4704 4827 5376 6144 6272 6436 7168 9408 9654 10752 11263 12544 12872 14336 18816 19308 21504 22526 25088 25744 33789 37632 38616 43008 45052 50176 51488 67578 75264 77232 78841 90104 100352 102976 135156 150528 154464 157682 180208 205952 236523 270312 301056 308928 315364 360416 411904 473046 540624 617856 630728 720832 823808 946092 1081248 1235712 1261456 1441664 1647616 1892184 2162496 2471424 2522912 2883328 3295232 3784368 4324992 4942848 5045824 5766656 7568736 8649984 9885696 10091648 11533312 15137472 17299968 20183296 23066624 30274944 34599936 40366592 60549888 69199872 80733184 121099776 161466368 242199552 484399104